- #1

Moara

- 43

- 5

- Homework Statement
- A cantilever with elasticy modulus (##E = 13 \ GPa##) is subjected to the distribution of forces as in figure. The cross section T shaped is indicated in the figure. The moment of inertia with respect to the centroidal axis ##z## is ##1496.45 \cdot 10^6 \cdot mm^4##. In the absence of the distribution of forces, there is a lack of ##0.5 mm## between the bean and the mobile support. Knowing that the bean touches the support with the load distribution, find:

1) The maximum normal stress

2) The value of the maximum shear stress in the body

3) The deflection in the middle of the bean

- Relevant Equations
- ##\sum{F_y} = 0##, ##\sum{M} = 0##

First, I am trying to find the external reactions in A and B, but I have only one equation relating ##V_A## and ##V_B##, what other relation could I use ?

Once I find the reactions, I can find the external moment as well. Then, I may draw the diagram of moments in each cross section and then find the maximum Moment. Using that ##\sigma = -My/I## I can find the maximum normal stress.

Once I find the reactions, I can find the external moment as well. Then, I may draw the diagram of moments in each cross section and then find the maximum Moment. Using that ##\sigma = -My/I## I can find the maximum normal stress.

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